Let R be the real line. Let the relations S and T on R be defined by S = {( x , y ) : y = x + 1 , 0 x 2 } , T = {( x , y ) : ( x − y ) is an integer } . Then

Question

Let R be the real line. Let the relations S and T on R be defined by S = {( x , y ) : y = x + 1 , 0 x 2 } , T = {( x , y ) : ( x − y ) is an integer } . Then, both S and T are equivalence relations on R, T is an equivalence on R but S is not, neither S nor T is an equivalence relation on R, S is an equivalence relation on R but T is not

MARKS App · Accepted Answer

T is an equivalence but S is not

Search any question & find its solution

Looking for more such questions to practice?